Rooney has plundered 33 goals this season, including 16 in his last 14 games, and Kompany admits the England striker will be a handful.
“It’s great to play against him,” said Kompany.
“I like it and hopefully we will be playing against each other for a long time because it’s always a great battle.
“He’s one of the best strikers in the world, no doubt about that, and usually it’s a very strong game, and we have played each other so many times.
“I enjoy that in a game. It’s not just about the two of us, but it’s nice to play against those top players.
“He has all the qualities of the top strikers. He is quick, powerful and a goalscorer. He’s a leader for his team, which makes him a special player.
“That makes it so much more enjoyable for me. I don’t think things should come easy - if it’s difficult, that makes winning even better.”